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Please explain me more clearer. Please check I dont get the answer of this question,

If both 5^2 and 3^3 are factors of n x (2^5) x (6^2) x (7^3) :

It means that n*2^5*6^2*7^3 his number is dicvisible by these 2 factors. If it is divisible so we can write the equation as,

n*5^2*6^2*7^3/5^2*3^3 = n*5^2*(2^2*3^2) *7^3/5^2*3^3=so after this how to get the answer I dont get it. Please explain me.

First, if a number, lets say X, is a factor of another number, lets say Y . Then Y is divisible by X

In the question, both 5^2 and 3^3 are factors of n x (2^5) x (6^2) x (7^3), so n x (2^5) x (6^2) x (7^3) must be divisible by 5^2 and 3^3

we can rewrite n x (2^5) x (6^2) x (7^3) as n x (2^5) x (2^2) x (3^2) x (7^3)

so to make (2^5) x (2^2) x (3^2) x (7^3) divisible by 5^2 and 3^3, we need 5^2 and 3^1 ( if Y is divisible by X, then all prime factors of X must also be prime factors of Y)

Re: If both 5^2 and 3^3 are factors of n x (2^5) x (6^2) x (7^3) [#permalink]

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08 Jun 2015, 14:40

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Re: If both 5^2 and 3^3 are factors of n x (2^5) x (6^2) x (7^3) [#permalink]

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14 Sep 2016, 01:29

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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